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MHT CET 2021 (23 Sep, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2021 (23 Sep, Shift 1)

Q184MHT CET 2021 · 23 SEP · SHIFT 1Medium

Thermodynamic Processes

An ideal gas at pressure ' $p$ ' is adiabatically compressed so that its density becomes twice that of the initial. If $\gamma = \frac{c_p}{c_v} = \frac{7}{5}$ , then final pressure of the gas is

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Answer: (d)

Density doubles, so volume halves; adiabatic $P \propto \rho^\gamma$ .
$P_2 = p \cdot 2^{7/5} = p \cdot 2^{1.4} \approx 2.64p$
So the answer is (d) $2.63p$ .

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